What is the solution of : log(3x-2)=-1

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The equation to be solved is: log(3x-2)=-1

log(3x-2)=-1

as the base is 10

=> 3x - 2 = 10^(-1)

=> 3x - 2 = 1/10

=> 10(3x - 2) = 1

=> 30x - 20 = 1

=> 30x = 21

=> x = 21/30

=> x = 7/10

The solution of the equation is x = 7/10

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cathyle | Student, Undergraduate | (Level 1) eNoter

Posted on

-1=log 10^(-1)

=> 3x-2 = 10^(-1)

=> 3x-2 =1/10

=> 3x    = 2 + 1/10

=> 3x    = 21/10

=> x      = 7/10

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